Question

When a wire o length `l(lltltr)` and ceoss sectional radius `r` is kept floating on surface of a liquid. Maximum radius of wire such that it may not sink. Is

Answer 1

Weight `u=` maximum force of surface tension
`Mg=T[2l]impliesrho(pir^(2))lg=T(2l)`
`r_(max)=sqrt((2T)/(pirhog)) (rho` is the density of the wire)
Note: `D_(max)=2r_(max)=sqrt((8T)/(pirhog)),A_(max)=pir^(2)=(2T)/(rhog)`